The race for governor of New Mexico is considered a tossup but one thing is clear right now: Bill Richardson’s successor will be a woman, the first-ever to run the state. Lt. Gov. Diane Denish, a Democrat, is running against Susana Martinez, the Republican district attorney of Doña Ana County. It is one of the few times that two women have run against each other for governor. In this contest, both candidates are distancing themselves from Mr. Richardson: Ms. Denish has suggested to voters she will be her own woman, while Ms. Martinez has tried to link Mr. Richardson and Ms. Denish and says the state needs a new direction. On the delicate issue of immigration, the candidates disagree about Arizona’s tough new law but agree that New Mexico should end its policy of granting driver’s licenses to illegal immigrants. The state’s Hispanic voters, who typically support Democrats, will play a central role in choosing which candidate wins.